On the inverse stability of functional equations
The inverse stability of functional equations is considered, i.e. when the function, approximating a solution of the equation, is an approximate solution of this equation.
On the Normal Stability of Functional Equations
In the paper two types of stability and of b-stability of functional equations are distinguished.
On the separation of parametric convex polyhedral sets with application in MOLP
We investigate diverse separation properties of two convex polyhedral sets for the case when there are parameters in one row of the constraint matrix. In particular, we deal with the existence, description and stability properties of the separating hyperplanes of such convex polyhedral sets. We present several examples carried out on PC. We are also interested in supporting separation (separating hyperplanes support both the convex polyhedral sets at given faces) and permanent separation (a hyperplane...
On the stability of a class of functional equations.
On the stability of a general mixed additive-cubic functional equation in random normed spaces.
On the stability of a generalized quadratic and quartic type functional equation in quasi-Banach spaces.
On the stability of a new Pexider-type functional equation.
On the stability of cubic mappings and quadratic mappings in random normed spaces.
On the stability of Drygas functional equation on groups.
On the stability of generalized additive functional inequalities in Banach spaces.
On the stability of generalized d'Alembert and Jensen functional equations.
On the stability of generalized gamma functional equation.
On the stability of generalized quartic mappings in quasi--normed spaces.
On the stability of mixed trigonometric functional equations.
On the Stability of Orthogonal Additivity
We deal with the stability of the orthogonal additivity equation, presenting a new approach to the proof of a 1995 result of R, Ger and the second author. We sharpen the estimate obtained there. Moreover, we work in more general settings, providing an axiomatic framework which covers much more cases than considered before by other authors.
On the stability of quadratic functional equations.
On the stability of some quadratic functional equation.
On the stability of the functional equation for polynomials.
On the stability of the quadratic functional equation in topological spaces.
On the stability of the quadratic mapping in normed spaces.